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5600016512 = 27176771541
BaseRepresentation
bin1010011011100100…
…10111100010000000
3112110021102022110222
411031302113202000
542432101012022
62323403442212
7255526232516
oct51562274200
915407368428
105600016512
112414077322
121103526368
136b3261b4c
143b1a504b6
1522b979242
hex14dc97880

5600016512 has 128 divisors (see below), whose sum is σ = 12180170880. Its totient is φ = 2554675200.

The previous prime is 5600016497. The next prime is 5600016523. The reversal of 5600016512 is 2156100065.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×56000165122 = 62720369869345292288, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10350962 + ... + 10351502.

It is an arithmetic number, because the mean of its divisors is an integer number (95157585).

Almost surely, 25600016512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5600016512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6090085440).

5600016512 is an abundant number, since it is smaller than the sum of its proper divisors (6580154368).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5600016512 is a wasteful number, since it uses less digits than its factorization.

5600016512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 710 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 26.

The square root of 5600016512 is about 74833.2580608382. The cubic root of 5600016512 is about 1775.8097488491.

Adding to 5600016512 its reverse (2156100065), we get a palindrome (7756116577).

The spelling of 5600016512 in words is "five billion, six hundred million, sixteen thousand, five hundred twelve".

Divisors: 1 2 4 8 16 17 32 34 64 67 68 71 128 134 136 142 268 272 284 536 541 544 568 1072 1082 1088 1136 1139 1207 2144 2164 2176 2272 2278 2414 4288 4328 4544 4556 4757 4828 8576 8656 9088 9112 9197 9514 9656 17312 18224 18394 19028 19312 34624 36247 36448 36788 38056 38411 38624 69248 72494 72896 73576 76112 76822 77248 80869 144988 145792 147152 152224 153644 154496 161738 289976 294304 304448 307288 323476 579952 588608 608896 614576 616199 646952 652987 1159904 1177216 1229152 1232398 1293904 1305974 2319808 2458304 2464796 2573537 2587808 2611948 4639616 4916608 4929592 5147074 5175616 5223896 9859184 10294148 10351232 10447792 19718368 20588296 20895584 39436736 41176592 41791168 43750129 78873472 82353184 83582336 87500258 164706368 175000516 329412736 350001032 700002064 1400004128 2800008256 5600016512